Complex Number Calculator ℂ

Number 1

Number 2

Rectangular Form
4.00 + 6.00i
Polar Form
7.21 ∠ 56.31°

Formulas

Addition: (a+bi) + (c+di) = (a+c) + (b+d)i

Subtraction: (a+bi) - (c+di) = (a-c) + (b-d)i

Multiplication: (a+bi)(c+di) = (ac-bd) + (ad+bc)i

Division: Multiply numerator and denominator by conjugate.

About Complex Numbers

Perform addition, subtraction, multiplication, and division on complex numbers (a + bi). View both rectangular and polar forms.

Features

  • Addition, Subtraction, Multiplication, Division
  • Conversion to Polar coordinates
  • Easy component input
  • Clear result formatting

How to Use

  1. Enter Real and Imaginary parts for two numbers.
  2. Select an operation (+, -, ×, ÷).
  3. View results in Rectangular and Polar forms.

Polar Form

r(cos θ + i sin θ), where r is magnitude and θ is angle.